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Finding the Fourth Proportional to 1,407,494.06, 1,942,345.96 and 762,916.82

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Solution

The fourth proportional to 1,407,494.06, 1,942,345.96 and 762,916.82 is: 1,052,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,494.06 : 1,942,345.96 = 762,916.82 : x
  2. Step 2: Convert to fraction form
    1,407,494.06/1,942,345.96 = 762,916.82/x
  3. Step 3: Cross multiply
    1,407,494.06x = 1,942,345.96 × 762,916.82
  4. Step 4: Simplify right side
    1,407,494.06x = 1,481,848,403,143.05
  5. Step 5: Solve for x
    x = 1,481,848,403,143.05/1,407,494.06
  6. Step 6: Final answer
    x = 1,052,827.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.